OP, only you can decide how much of a factor the weather should be. I grew up back east and my sister went to AZ State-she loved AZ so much she never moved back to New England and won’t even visit in the winters now. Another sister has visited her in the summers and can’t wait to get out and back to the “normal” New England muggies. We live in Seattle. I CANNOT handle the constant dreariness and rain of our winters and wonder anew every year why the heck I moved here 20 years ago. My D isn’t quite as bothered, but deliberately looked at schools in warmer, drier areas, choosing one in the upper south where there are 4 seasons and the sun comes out often between October and May.
While weather was not her primary reason for choosing her college, it did eliminate all of those in the PNW. I was fine with that. You have to LOOK outside even if you don’t GO outside, and frankly, I’d be concerned about a college student who never went outside. We did insist D visit the area during the warmest part of the year so she’d know what she was getting into. We did, and she loved it.